Excursion and return times of a geodesic to a subset of a hyperbolic Riemann surface

DOI10.1090/S0002-9939-2013-11767-3zbMath1272.30060arXiv1102.4838MaRDI QIDQ2846923

Andrew Haas

Publication date: 4 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.4838

zbMATH Keywords

geodesic flowFuchsian grouphyperbolic surface

Mathematics Subject Classification ID

Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Geodesic flows in symplectic geometry and contact geometry (53D25) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Flows on surfaces (37E35)

Cites Work

• On the almost sure spiraling of geodesics in negatively curved manifolds
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• Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics
• The distribution of geodesic excursions out the end of a hyperbolic orbifold and approximation with respect to a Fuchsian group
• Approximation by Mediants
• Geodesic excursions into an embedded disc on a hyperbolic Riemann surface
• Distribution of intersection lengths of a random geodesic with a geodesic lamination
• On metrical theory of diophantine approximation over imaginary quadratic field
• Constructing pairs of pants
• Geometry and spectra of compact Riemann surfaces
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